1622125440 has 640 divisors, whose sum is σ = 6531386400. Its totient is φ = 380878848.

The previous prime is 1622125391. The next prime is 1622125441. The reversal of 1622125440 is 445212261.

1622125440 is a `hidden beast` number, since 1 + 6 + 2 + 212 + 5 + 440 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1622125441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19543639 + ... + 19543721.

Almost surely, 2^1622125440 is an apocalyptic number.

1622125440 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 1622125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265693200).

1622125440 is an abundant number, since it is smaller than the sum of its proper divisors (4909260960).

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

1622125440 is a wasteful number, since it uses less digits than its factorization.

1622125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1622125440 is about 40275.6184310061. The cubic root of 1622125440 is about 1174.9736985210.

The spelling of 1622125440 in words is "one billion, six hundred twenty-two million, one hundred twenty-five thousand, four hundred forty".