10266373440 has 336 divisors, whose sum is σ = 37573774992. Its totient is φ = 2563964928.

The previous prime is 10266373421. The next prime is 10266373477. The reversal of 10266373440 is 4437366201.

It is a happy number.

10266373440 is a `hidden beast` number, since 10 + 2 + 6 + 637 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18455616 + 10247917824 = 4296^2 + 101232^2 .

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 = 10266373395 and 10266373404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13561542 + ... + 13562298.

Almost surely, 2^10266373440 is an apocalyptic number.

10266373440 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 10266373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786887496).

10266373440 is an abundant number, since it is smaller than the sum of its proper divisors (27307401552).

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

10266373440 is a wasteful number, since it uses less digits than its factorization.

10266373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 10266373440 in words is "ten billion, two hundred sixty-six million, three hundred seventy-three thousand, four hundred forty".