362009541260640 has 3072 divisors, whose sum is σ = 1576655608872960. Its totient is φ = 67691421204480.

The previous prime is 362009541260539. The next prime is 362009541260651. The reversal of 362009541260640 is 46062145900263.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 362009541260640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 100363053717 + ... + 100363057323.

It is an arithmetic number, because the mean of its divisors is an integer number (513234247680).

Almost surely, 2^{362009541260640} is an apocalyptic number.

362009541260640 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 362009541260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788327804436480).

362009541260640 is an abundant number, since it is smaller than the sum of its proper divisors (1214646067612320).

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

362009541260640 is a wasteful number, since it uses less digits than its factorization.

362009541260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 362009541260640 in words is "three hundred sixty-two trillion, nine billion, five hundred forty-one million, two hundred sixty thousand, six hundred forty".