361132611840 has 2592 divisors, whose sum is σ = 1767081496320. Its totient is φ = 68319313920.

The previous prime is 361132611799. The next prime is 361132611881. The reversal of 361132611840 is 48116231163.

361132611840 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 32 + 611 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361132611799) and next prime (361132611881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 361132611795 and 361132611804.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4947022044 + ... + 4947022116.

Almost surely, 2^361132611840 is an apocalyptic number.

361132611840 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 361132611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883540748160).

361132611840 is an abundant number, since it is smaller than the sum of its proper divisors (1405948884480).

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

361132611840 is a wasteful number, since it uses less digits than its factorization.

361132611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 361132611840 in words is "three hundred sixty-one billion, one hundred thirty-two million, six hundred eleven thousand, eight hundred forty".