10521379440 has 640 divisors, whose sum is σ = 44457154560. Its totient is φ = 2250547200.

The previous prime is 10521379399. The next prime is 10521379457. The reversal of 10521379440 is 4497312501.

10521379440 is a `hidden beast` number, since 1 + 0 + 521 + 3 + 7 + 94 + 40 = 666.

It is a super-2 number, since 2×10521379440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10521379395 and 10521379404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7103500 + ... + 7104980.

It is an arithmetic number, because the mean of its divisors is an integer number (69464304).

Almost surely, 2^10521379440 is an apocalyptic number.

10521379440 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 10521379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228577280).

10521379440 is an abundant number, since it is smaller than the sum of its proper divisors (33935775120).

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

10521379440 is a wasteful number, since it uses less digits than its factorization.

10521379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10521379440 in words is "ten billion, five hundred twenty-one million, three hundred seventy-nine thousand, four hundred forty".