10214951040 has 256 divisors, whose sum is σ = 41346720000. Its totient is φ = 2334818304.

The previous prime is 10214951011. The next prime is 10214951053. The reversal of 10214951040 is 4015941201.

10214951040 is a `hidden beast` number, since 1 + 0 + 2 + 149 + 510 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10214950995 and 10214951013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78736 + ... + 163184.

It is an arithmetic number, because the mean of its divisors is an integer number (161510625).

Almost surely, 2^10214951040 is an apocalyptic number.

10214951040 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 10214951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673360000).

10214951040 is an abundant number, since it is smaller than the sum of its proper divisors (31131768960).

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

10214951040 is an equidigital number, since it uses as much as digits as its factorization.

10214951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84484 (or 84466 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10214951040 in words is "ten billion, two hundred fourteen million, nine hundred fifty-one thousand, forty".