355561118640 has 1680 divisors, whose sum is σ = 1646977274208. Its totient is φ = 70481166336.

The previous prime is 355561118621. The next prime is 355561118659. The reversal of 355561118640 is 46811165553.

It is a happy number.

355561118640 is a `hidden beast` number, since 3 + 5 + 5 + 561 + 1 + 1 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (355561118621) and next prime (355561118659).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 631546999 + ... + 631547561.

Almost surely, 2^355561118640 is an apocalyptic number.

355561118640 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 355561118640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823488637104).

355561118640 is an abundant number, since it is smaller than the sum of its proper divisors (1291416155568).

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

355561118640 is a wasteful number, since it uses less digits than its factorization.

355561118640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 355561118640 in words is "three hundred fifty-five billion, five hundred sixty-one million, one hundred eighteen thousand, six hundred forty".