10025551440 has 200 divisors, whose sum is σ = 36868879080. Its totient is φ = 2516189184.

The previous prime is 10025551429. The next prime is 10025551451. The reversal of 10025551440 is 4415552001.

10025551440 is a `hidden beast` number, since 100 + 2 + 5 + 5 + 514 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10025551429) and next prime (10025551451).

It can be written as a sum of positive squares in 4 ways, for example, as 1054430784 + 8971120656 = 32472^2 + 94716^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64656 + ... + 155664.

Almost surely, 2^10025551440 is an apocalyptic number.

10025551440 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 10025551440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434439540).

10025551440 is an abundant number, since it is smaller than the sum of its proper divisors (26843327640).

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

10025551440 is a wasteful number, since it uses less digits than its factorization.

10025551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91051 (or 91036 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10025551440 in words is "ten billion, twenty-five million, five hundred fifty-one thousand, four hundred forty".