36421520400 has 360 divisors, whose sum is σ = 131559885184. Its totient is φ = 9676454400.

The previous prime is 36421520389. The next prime is 36421520407. The reversal of 36421520400 is 402512463.

36421520400 is a `hidden beast` number, since 3 + 642 + 15 + 2 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36421520407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35671890 + ... + 35672910.

Almost surely, 2^36421520400 is an apocalyptic number.

36421520400 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 36421520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65779942592).

36421520400 is an abundant number, since it is smaller than the sum of its proper divisors (95138364784).

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

36421520400 is a wasteful number, since it uses less digits than its factorization.

36421520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 36421520400 in words is "thirty-six billion, four hundred twenty-one million, five hundred twenty thousand, four hundred".