10387470240 has 768 divisors, whose sum is σ = 44416512000. Its totient is φ = 2214604800.

The previous prime is 10387470211. The next prime is 10387470347. The reversal of 10387470240 is 4207478301.

It is a happy number.

10387470240 is a `hidden beast` number, since 103 + 87 + 470 + 2 + 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 = 10387470195 and 10387470204.

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, 58030471 + ... + 58030649.

It is an arithmetic number, because the mean of its divisors is an integer number (57834000).

Almost surely, 2^10387470240 is an apocalyptic number.

10387470240 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 10387470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256000).

10387470240 is an abundant number, since it is smaller than the sum of its proper divisors (34029041760).

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

10387470240 is a wasteful number, since it uses less digits than its factorization.

10387470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10387470240 in words is "ten billion, three hundred eighty-seven million, four hundred seventy thousand, two hundred forty".