361983470400 has 1008 divisors, whose sum is σ = 1424734158400. Its totient is φ = 89151528960.

The previous prime is 361983470383. The next prime is 361983470417. The reversal of 361983470400 is 4074389163.

361983470400 is a `hidden beast` number, since 3 + 61 + 9 + 83 + 470 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361983470383) and next prime (361983470417).

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 143 ways as a sum of consecutive naturals, for example, 2305627122 + ... + 2305627278.

Almost surely, 2^361983470400 is an apocalyptic number.

361983470400 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 361983470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712367079200).

361983470400 is an abundant number, since it is smaller than the sum of its proper divisors (1062750688000).

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

361983470400 is a wasteful number, since it uses less digits than its factorization.

361983470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 361983470400 in words is "three hundred sixty-one billion, nine hundred eighty-three million, four hundred seventy thousand, four hundred".