352935491040 has 1296 divisors, whose sum is σ = 1450217478528. Its totient is φ = 78008832000.

The previous prime is 352935491003. The next prime is 352935491053. The reversal of 352935491040 is 40194539253.

352935491040 is a `hidden beast` number, since 3 + 5 + 2 + 93 + 549 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1949919750 + ... + 1949919930.

It is an arithmetic number, because the mean of its divisors is an integer number (1118994968).

Almost surely, 2^352935491040 is an apocalyptic number.

352935491040 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 352935491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725108739264).

352935491040 is an abundant number, since it is smaller than the sum of its proper divisors (1097281987488).

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

352935491040 is a wasteful number, since it uses less digits than its factorization.

352935491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 352935491040 in words is "three hundred fifty-two billion, nine hundred thirty-five million, four hundred ninety-one thousand, forty".