10316211840 has 640 divisors, whose sum is σ = 40876704000. Its totient is φ = 2458460160.

The previous prime is 10316211833. The next prime is 10316211859. The reversal of 10316211840 is 4811261301.

It is a happy number.

10316211840 is a `hidden beast` number, since 1 + 0 + 31 + 621 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45048846 + ... + 45049074.

It is an arithmetic number, because the mean of its divisors is an integer number (63869850).

Almost surely, 2^10316211840 is an apocalyptic number.

10316211840 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 10316211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20438352000).

10316211840 is an abundant number, since it is smaller than the sum of its proper divisors (30560492160).

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

10316211840 is a wasteful number, since it uses less digits than its factorization.

10316211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10316211840 in words is "ten billion, three hundred sixteen million, two hundred eleven thousand, eight hundred forty".