361470470400 has 1296 divisors, whose sum is σ = 1520872866240. Its totient is φ = 84204748800.

The previous prime is 361470470357. The next prime is 361470470441. The reversal of 361470470400 is 4074074163.

It is a happy number.

361470470400 is a `hidden beast` number, since 3 + 6 + 147 + 0 + 470 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384133930 + ... + 384134870.

Almost surely, 2^361470470400 is an apocalyptic number.

361470470400 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 361470470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760436433120).

361470470400 is an abundant number, since it is smaller than the sum of its proper divisors (1159402395840).

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

361470470400 is a wasteful number, since it uses less digits than its factorization.

361470470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 361470470400 in words is "three hundred sixty-one billion, four hundred seventy million, four hundred seventy thousand, four hundred".