352501057440 has 768 divisors, whose sum is σ = 1508550220800. Its totient is φ = 75039768576.

The previous prime is 352501057409. The next prime is 352501057451. The reversal of 352501057440 is 44750105253.

352501057440 is a `hidden beast` number, since 35 + 2 + 5 + 0 + 10 + 574 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 352501057395 and 352501057404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49862226 + ... + 49869294.

It is an arithmetic number, because the mean of its divisors is an integer number (1964258100).

Almost surely, 2^352501057440 is an apocalyptic number.

352501057440 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 352501057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754275110400).

352501057440 is an abundant number, since it is smaller than the sum of its proper divisors (1156049163360).

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

352501057440 is a wasteful number, since it uses less digits than its factorization.

352501057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7200 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 352501057440 in words is "three hundred fifty-two billion, five hundred one million, fifty-seven thousand, four hundred forty".