361574254041000 has 768 divisors, whose sum is σ = 1541715142705920. Its totient is φ = 69352899840000.

The previous prime is 361574254040959. The next prime is 361574254041029. The reversal of 361574254041000 is 140452475163.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12420690 + ... + 29621310.

It is an arithmetic number, because the mean of its divisors is an integer number (2007441592065).

Almost surely, 2^{361574254041000} is an apocalyptic number.

361574254041000 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 361574254041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770857571352960).

361574254041000 is an abundant number, since it is smaller than the sum of its proper divisors (1180140888664920).

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

361574254041000 is a wasteful number, since it uses less digits than its factorization.

361574254041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200683 (or 17200662 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 361574254041000 in words is "three hundred sixty-one trillion, five hundred seventy-four billion, two hundred fifty-four million, forty-one thousand".