1642375440 has 300 divisors, whose sum is σ = 6066402276. Its totient is φ = 411734016.

The previous prime is 1642375439. The next prime is 1642375459. The reversal of 1642375440 is 445732461.

1642375440 is a `hidden beast` number, since 1 + 642 + 3 + 7 + 5 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 264777984 + 1377597456 = 16272^2 + 37116^2 .

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 = 1642375395 and 1642375404.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1872282 + ... + 1873158.

Almost surely, 2^1642375440 is an apocalyptic number.

1642375440 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 1642375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033201138).

1642375440 is an abundant number, since it is smaller than the sum of its proper divisors (4424026836).

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

1642375440 is a wasteful number, since it uses less digits than its factorization.

1642375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1642375440 is about 40526.2315050388. The cubic root of 1642375440 is about 1179.8428020028.

The spelling of 1642375440 in words is "one billion, six hundred forty-two million, three hundred seventy-five thousand, four hundred forty".