10402621020 has 288 divisors, whose sum is σ = 36855576576. Its totient is φ = 2440108800.

The previous prime is 10402621007. The next prime is 10402621069. The reversal of 10402621020 is 2012620401.

10402621020 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 621 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10402620984 and 10402621002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1654122 + ... + 1660398.

It is an arithmetic number, because the mean of its divisors is an integer number (127970752).

Almost surely, 2^10402621020 is an apocalyptic number.

10402621020 is a gapful number since it is divisible by the number (10) 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 10402621020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18427788288).

10402621020 is an abundant number, since it is smaller than the sum of its proper divisors (26452955556).

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

10402621020 is a wasteful number, since it uses less digits than its factorization.

10402621020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10402621020 in words is "ten billion, four hundred two million, six hundred twenty-one thousand, twenty".