351400004012880 has 800 divisors, whose sum is σ = 1250046292809600. Its totient is φ = 91455119069184.

The previous prime is 351400004012819. The next prime is 351400004012921. The reversal of 351400004012880 is 88210400004153.

351400004012880 is a `hidden beast` number, since 3 + 51 + 400 + 0 + 0 + 4 + 0 + 128 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68272778467 + ... + 68272783613.

It is an arithmetic number, because the mean of its divisors is an integer number (1562557866012).

Almost surely, 2^{351400004012880} is an apocalyptic number.

351400004012880 is a gapful number since it is divisible by the number (30) 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 351400004012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625023146404800).

351400004012880 is an abundant number, since it is smaller than the sum of its proper divisors (898646288796720).

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

351400004012880 is a wasteful number, since it uses less digits than its factorization.

351400004012880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 351400004012880 in words is "three hundred fifty-one trillion, four hundred billion, four million, twelve thousand, eight hundred eighty".