1016132034400 has 72 divisors (see below), whose sum is σ = 2835008391600. Its totient is φ = 348388124160.

The previous prime is 1016132034361. The next prime is 1016132034403. The reversal of 1016132034400 is 44302316101.

It is a super-2 number, since 2×1016132034400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016132034403) 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 11 ways as a sum of consecutive naturals, for example, 90720475 + ... + 90731674.

It is an arithmetic number, because the mean of its divisors is an integer number (39375116550).

Almost surely, 2^{1016132034400} is an apocalyptic number.

1016132034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016132034400 is an abundant number, since it is smaller than the sum of its proper divisors (1818876357200).

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

1016132034400 is a wasteful number, since it uses less digits than its factorization.

1016132034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181452176 (or 181452163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 1016132034400 in words is "one trillion, sixteen billion, one hundred thirty-two million, thirty-four thousand, four hundred".