369560125440 has 576 divisors, whose sum is σ = 1413312591600. Its totient is φ = 88583700480.

The previous prime is 369560125433. The next prime is 369560125481. The reversal of 369560125440 is 44521065963.

369560125440 is a `hidden beast` number, since 3 + 6 + 95 + 6 + 0 + 12 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 23 ways as a sum of consecutive naturals, for example, 4152360916 + ... + 4152361004.

Almost surely, 2^369560125440 is an apocalyptic number.

369560125440 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 369560125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706656295800).

369560125440 is an abundant number, since it is smaller than the sum of its proper divisors (1043752466160).

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

369560125440 is an frugal number, since it uses more digits than its factorization.

369560125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 3695601 and 25440, that added together give a square (3721041 = 1929²).

The spelling of 369560125440 in words is "three hundred sixty-nine billion, five hundred sixty million, one hundred twenty-five thousand, four hundred forty".