36371408486400 has 2160 divisors, whose sum is σ = 148013940501504. Its totient is φ = 8775448657920.

The previous prime is 36371408486333. The next prime is 36371408486423. The reversal of 36371408486400 is 468480417363.

36371408486400 is a `hidden beast` number, since 363 + 7 + 140 + 84 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 286389043137 + ... + 286389043263.

Almost surely, 2^{36371408486400} is an apocalyptic number.

36371408486400 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 36371408486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74006970250752).

36371408486400 is an abundant number, since it is smaller than the sum of its proper divisors (111642532015104).

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

36371408486400 is an equidigital number, since it uses as much as digits as its factorization.

36371408486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 36371408486400 in words is "thirty-six trillion, three hundred seventy-one billion, four hundred eight million, four hundred eighty-six thousand, four hundred".