1001429644032 has 288 divisors, whose sum is σ = 3055560883200. Its totient is φ = 323356520448.

The previous prime is 1001429644013. The next prime is 1001429644051. The reversal of 1001429644032 is 2304469241001.

1001429644032 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 2 + 9 + 644 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1001429644013) and next prime (1001429644051).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1001429644032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28923243 + ... + 28957845.

It is an arithmetic number, because the mean of its divisors is an integer number (10609586400).

Almost surely, 2^{1001429644032} is an apocalyptic number.

1001429644032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001429644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527780441600).

1001429644032 is an abundant number, since it is smaller than the sum of its proper divisors (2054131239168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001429644032 is an equidigital number, since it uses as much as digits as its factorization.

1001429644032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34760 (or 34740 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 1001429 and 644032, that added together give a palindrome (1645461).

The spelling of 1001429644032 in words is "one trillion, one billion, four hundred twenty-nine million, six hundred forty-four thousand, thirty-two".