359420153400 has 1152 divisors, whose sum is σ = 1562175014400. Its totient is φ = 71887564800.

The previous prime is 359420153359. The next prime is 359420153431. The reversal of 359420153400 is 4351024953.

359420153400 is a `hidden beast` number, since 3 + 594 + 20 + 1 + 5 + 3 + 40 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 558973479 + ... + 558974121.

It is an arithmetic number, because the mean of its divisors is an integer number (1356054700).

Almost surely, 2^359420153400 is an apocalyptic number.

359420153400 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 359420153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781087507200).

359420153400 is an abundant number, since it is smaller than the sum of its proper divisors (1202754861000).

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

359420153400 is a wasteful number, since it uses less digits than its factorization.

359420153400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 359420153400 in words is "three hundred fifty-nine billion, four hundred twenty million, one hundred fifty-three thousand, four hundred".