355540832640 has 1152 divisors, whose sum is σ = 1472742479520. Its totient is φ = 78776893440.

The previous prime is 355540832611. The next prime is 355540832683. The reversal of 355540832640 is 46238045553.

355540832640 is a `hidden beast` number, since 3 + 5 + 5 + 540 + 83 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 1842180384 + ... + 1842180576.

Almost surely, 2^355540832640 is an apocalyptic number.

355540832640 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 355540832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736371239760).

355540832640 is an abundant number, since it is smaller than the sum of its proper divisors (1117201646880).

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

355540832640 is a wasteful number, since it uses less digits than its factorization.

355540832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 355540832640 in words is "three hundred fifty-five billion, five hundred forty million, eight hundred thirty-two thousand, six hundred forty".