1034133040032 has 48 divisors (see below), whose sum is σ = 2874281542272. Its totient is φ = 324433894400.

The previous prime is 1034133040021. The next prime is 1034133040037. The reversal of 1034133040032 is 2300403314301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1034133040032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1034133039984 and 1034133040011.

It is not an unprimeable number, because it can be changed into a prime (1034133040037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 316828344 + ... + 316831607.

It is an arithmetic number, because the mean of its divisors is an integer number (59880865464).

Almost surely, 2^{1034133040032} is an apocalyptic number.

1034133040032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034133040032 is an abundant number, since it is smaller than the sum of its proper divisors (1840148502240).

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

1034133040032 is a wasteful number, since it uses less digits than its factorization.

1034133040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633659981 (or 633659973 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1034133040032 its reverse (2300403314301), we get a palindrome (3334536354333).

The spelling of 1034133040032 in words is "one trillion, thirty-four billion, one hundred thirty-three million, forty thousand, thirty-two".