359487959040 has 936 divisors, whose sum is σ = 1478829089088. Its totient is φ = 80510976000.

The previous prime is 359487958979. The next prime is 359487959053. The reversal of 359487959040 is 40959784953.

359487959040 is a `hidden beast` number, since 35 + 9 + 4 + 8 + 7 + 9 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478678665 + ... + 478679415.

It is an arithmetic number, because the mean of its divisors is an integer number (1579945608).

Almost surely, 2^359487959040 is an apocalyptic number.

359487959040 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 359487959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739414544544).

359487959040 is an abundant number, since it is smaller than the sum of its proper divisors (1119341130048).

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

359487959040 is a wasteful number, since it uses less digits than its factorization.

359487959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 359487959040 in words is "three hundred fifty-nine billion, four hundred eighty-seven million, nine hundred fifty-nine thousand, forty".