10486371240 has 256 divisors, whose sum is σ = 36465408000. Its totient is φ = 2677432320.

The previous prime is 10486371223. The next prime is 10486371277. The reversal of 10486371240 is 4217368401.

10486371240 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 637 + 12 + 4 + 0 = 666.

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 = 10486371195 and 10486371204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3245946 + ... + 3249174.

It is an arithmetic number, because the mean of its divisors is an integer number (142443000).

Almost surely, 2^10486371240 is an apocalyptic number.

10486371240 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 10486371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704000).

10486371240 is an abundant number, since it is smaller than the sum of its proper divisors (25979036760).

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

10486371240 is a wasteful number, since it uses less digits than its factorization.

10486371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10486371240 in words is "ten billion, four hundred eighty-six million, three hundred seventy-one thousand, two hundred forty".