21642434553432 has 512 divisors, whose sum is σ = 72684195471360. Its totient is φ = 5198269440000.

The previous prime is 21642434553431. The next prime is 21642434553433. The reversal of 21642434553432 is 23435543424612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21642434553431) and next prime (21642434553433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21642434553431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 415639063 + ... + 415691129.

It is an arithmetic number, because the mean of its divisors is an integer number (141961319280).

Almost surely, 2^{21642434553432} is an apocalyptic number.

21642434553432 is a gapful number since it is divisible by the number (22) 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 21642434553432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342097735680).

21642434553432 is an abundant number, since it is smaller than the sum of its proper divisors (51041760917928).

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

21642434553432 is a wasteful number, since it uses less digits than its factorization.

21642434553432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52343 (or 52339 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 21642434553432 in words is "twenty-one trillion, six hundred forty-two billion, four hundred thirty-four million, five hundred fifty-three thousand, four hundred thirty-two".