351400100436040 has 128 divisors (see below), whose sum is σ = 829180178749440. Its totient is φ = 133862077440000.

The previous prime is 351400100436023. The next prime is 351400100436041. The reversal of 351400100436040 is 40634001004153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 351400100435993 and 351400100436011.

It is not an unprimeable number, because it can be changed into a prime (351400100436041) 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, 43940760 + ... + 51318520.

It is an arithmetic number, because the mean of its divisors is an integer number (6477970146480).

Almost surely, 2^{351400100436040} 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 351400100436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414590089374720).

351400100436040 is an abundant number, since it is smaller than the sum of its proper divisors (477780078313400).

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

351400100436040 is a wasteful number, since it uses less digits than its factorization.

351400100436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378415 (or 7378411 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 351400100436040 in words is "three hundred fifty-one trillion, four hundred billion, one hundred million, four hundred thirty-six thousand, forty".