22413677040 has 240 divisors, whose sum is σ = 77977675776. Its totient is φ = 5763571200.

The previous prime is 22413677003. The next prime is 22413677053. The reversal of 22413677040 is 4077631422.

22413677040 is a `hidden beast` number, since 224 + 1 + 367 + 70 + 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 = 22413676986 and 22413677004.

It is a congruent number.

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, 6850605 + ... + 6853875.

Almost surely, 2^22413677040 is an apocalyptic number.

22413677040 is a gapful number since it is divisible by the number (20) 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 22413677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988837888).

22413677040 is an abundant number, since it is smaller than the sum of its proper divisors (55563998736).

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

22413677040 is a wasteful number, since it uses less digits than its factorization.

22413677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 22413677040 in words is "twenty-two billion, four hundred thirteen million, six hundred seventy-seven thousand, forty".