4536210902400 has 1536 divisors, whose sum is σ = 17850678912000. Its totient is φ = 1122818457600.

The previous prime is 4536210902393. The next prime is 4536210902453. The reversal of 4536210902400 is 42090126354.

It is a happy number.

4536210902400 is a `hidden beast` number, since 4 + 5 + 3 + 621 + 0 + 9 + 0 + 24 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7649596504 + ... + 7649597096.

It is an arithmetic number, because the mean of its divisors is an integer number (11621535750).

Almost surely, 2^{4536210902400} is an apocalyptic number.

4536210902400 is a gapful number since it is divisible by the number (40) 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 4536210902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8925339456000).

4536210902400 is an abundant number, since it is smaller than the sum of its proper divisors (13314468009600).

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

4536210902400 is a wasteful number, since it uses less digits than its factorization.

4536210902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4536210902400 in words is "four trillion, five hundred thirty-six billion, two hundred ten million, nine hundred two thousand, four hundred".