1029954100032 has 672 divisors, whose sum is σ = 3865688910720. Its totient is φ = 256874250240.

The previous prime is 1029954099991. The next prime is 1029954100057. The reversal of 1029954100032 is 2300014599201.

1029954100032 is a `hidden beast` number, since 102 + 9 + 9 + 541 + 0 + 0 + 0 + 3 + 2 = 666.

1029954100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1029954100032³ (a number of 37 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1029954100032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26585508 + ... + 26624220.

It is an arithmetic number, because the mean of its divisors is an integer number (5752513260).

Almost surely, 2^{1029954100032} is an apocalyptic number.

1029954100032 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 1029954100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932844455360).

1029954100032 is an abundant number, since it is smaller than the sum of its proper divisors (2835734810688).

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

1029954100032 is a wasteful number, since it uses less digits than its factorization.

1029954100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38791 (or 38778 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 1029954100032 its reverse (2300014599201), we get a palindrome (3329968699233).

The spelling of 1029954100032 in words is "one trillion, twenty-nine billion, nine hundred fifty-four million, one hundred thousand, thirty-two".