21962403840 has 416 divisors, whose sum is σ = 78205833216. Its totient is φ = 5225840640.

The previous prime is 21962403839. The next prime is 21962403863. The reversal of 21962403840 is 4830426912.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24759877 + ... + 24760763.

Almost surely, 2^21962403840 is an apocalyptic number.

21962403840 is a gapful number since it is divisible by the number (20) 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 21962403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39102916608).

21962403840 is an abundant number, since it is smaller than the sum of its proper divisors (56243429376).

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

21962403840 is a wasteful number, since it uses less digits than its factorization.

21962403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 21962403840 in words is "twenty-one billion, nine hundred sixty-two million, four hundred three thousand, eight hundred forty".