20132420400 has 150 divisors (see below), whose sum is σ = 72253757532. Its totient is φ = 5368636800.

The previous prime is 20132420393. The next prime is 20132420411. The reversal of 20132420400 is 402423102.

20132420400 is a `hidden beast` number, since 20 + 1 + 3 + 242 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 278286 + ... + 343085.

Almost surely, 2^20132420400 is an apocalyptic number.

20132420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132420400 is an abundant number, since it is smaller than the sum of its proper divisors (52121337132).

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

20132420400 is a wasteful number, since it uses less digits than its factorization.

20132420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621401 (or 621381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20132420400 its reverse (402423102), we get a palindrome (20534843502).

The spelling of 20132420400 in words is "twenty billion, one hundred thirty-two million, four hundred twenty thousand, four hundred".