100462478116440 has 256 divisors, whose sum is σ = 332015169024000. Its totient is φ = 24115650324480.

The previous prime is 100462478116433. The next prime is 100462478116487. The reversal of 100462478116440 is 44611874264001.

It is a super-3 number, since 3×100462478116440³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100462478116440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225237166 + ... + 225682754.

It is an arithmetic number, because the mean of its divisors is an integer number (1296934254000).

Almost surely, 2^{100462478116440} is an apocalyptic number.

100462478116440 is a gapful number since it is divisible by the number (10) 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 100462478116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166007584512000).

100462478116440 is an abundant number, since it is smaller than the sum of its proper divisors (231552690907560).

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

100462478116440 is a wasteful number, since it uses less digits than its factorization.

100462478116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447290 (or 447286 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 100462478116440 in words is "one hundred trillion, four hundred sixty-two billion, four hundred seventy-eight million, one hundred sixteen thousand, four hundred forty".