100040477343352 has 128 divisors (see below), whose sum is σ = 234691880693760. Its totient is φ = 38924287948800.

The previous prime is 100040477343343. The next prime is 100040477343353. The reversal of 100040477343352 is 253343774040001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100040477343299 and 100040477343308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100040477343353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9762352 + ... + 17186752.

It is an arithmetic number, because the mean of its divisors is an integer number (1833530317920).

Almost surely, 2^{100040477343352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100040477343352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117345940346880).

100040477343352 is an abundant number, since it is smaller than the sum of its proper divisors (134651403350408).

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

100040477343352 is a wasteful number, since it uses less digits than its factorization.

100040477343352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424733 (or 7424729 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 43.

The spelling of 100040477343352 in words is "one hundred trillion, forty billion, four hundred seventy-seven million, three hundred forty-three thousand, three hundred fifty-two".