4022461625040 has 120 divisors (see below), whose sum is σ = 13679764200960. Its totient is φ = 1059078488832.

The previous prime is 4022461624991. The next prime is 4022461625089. The reversal of 4022461625040 is 405261642204.

4022461625040 is a `hidden beast` number, since 4 + 0 + 2 + 24 + 6 + 1 + 625 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4022461624991) and next prime (4022461625089).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 4022461624986 and 4022461625004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35302312 + ... + 35416071.

It is an arithmetic number, because the mean of its divisors is an integer number (113998035008).

Almost surely, 2^{4022461625040} is an apocalyptic number.

4022461625040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022461625040 is an abundant number, since it is smaller than the sum of its proper divisors (9657302575920).

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

4022461625040 is a wasteful number, since it uses less digits than its factorization.

4022461625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70718481 (or 70718472 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4022461625040 in words is "four trillion, twenty-two billion, four hundred sixty-one million, six hundred twenty-five thousand, forty".