361375408350720 has 1280 divisors, whose sum is σ = 1340741901312000. Its totient is φ = 92157711482880.

The previous prime is 361375408350679. The next prime is 361375408350757. The reversal of 361375408350720 is 27053804573163.

361375408350720 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 7 + 54 + 0 + 83 + 507 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104776863556 + ... + 104776867004.

It is an arithmetic number, because the mean of its divisors is an integer number (1047454610400).

Almost surely, 2^{361375408350720} is an apocalyptic number.

361375408350720 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 361375408350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670370950656000).

361375408350720 is an abundant number, since it is smaller than the sum of its proper divisors (979366492961280).

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

361375408350720 is a wasteful number, since it uses less digits than its factorization.

361375408350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 361375408350720 in words is "three hundred sixty-one trillion, three hundred seventy-five billion, four hundred eight million, three hundred fifty thousand, seven hundred twenty".