10862119440 has 240 divisors, whose sum is σ = 37978694208. Its totient is φ = 2885165568.

The previous prime is 10862119393. The next prime is 10862119453. The reversal of 10862119440 is 4491126801.

10862119440 is a `hidden beast` number, since 10 + 8 + 621 + 19 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 10862119395 and 10862119404.

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, 5694967 + ... + 5696873.

Almost surely, 2^10862119440 is an apocalyptic number.

10862119440 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 10862119440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989347104).

10862119440 is an abundant number, since it is smaller than the sum of its proper divisors (27116574768).

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

10862119440 is a wasteful number, since it uses less digits than its factorization.

10862119440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10862119440 in words is "ten billion, eight hundred sixty-two million, one hundred nineteen thousand, four hundred forty".