354997419197400 has 1152 divisors, whose sum is σ = 1447524952473600. Its totient is φ = 76162032000000.

The previous prime is 354997419197387. The next prime is 354997419197411. The reversal of 354997419197400 is 4791914799453.

354997419197400 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 9 + 7 + 41 + 91 + 97 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11477059935 + ... + 11477090865.

It is an arithmetic number, because the mean of its divisors is an integer number (1256532076800).

Almost surely, 2^{354997419197400} is an apocalyptic number.

354997419197400 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 354997419197400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723762476236800).

354997419197400 is an abundant number, since it is smaller than the sum of its proper divisors (1092527533276200).

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

354997419197400 is a wasteful number, since it uses less digits than its factorization.

354997419197400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31421 (or 31409 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 354997419197400 in words is "three hundred fifty-four trillion, nine hundred ninety-seven billion, four hundred nineteen million, one hundred ninety-seven thousand, four hundred".