1642435040 has 72 divisors (see below), whose sum is σ = 3924261432. Its totient is φ = 649605120.

The previous prime is 1642435021. The next prime is 1642435061. The reversal of 1642435040 is 405342461.

It is a junction number, because it is equal to n+sod(n) for n = 1642434994 and 1642435012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504895 + ... + 1505985.

It is an arithmetic number, because the mean of its divisors is an integer number (54503631).

Almost surely, 2^1642435040 is an apocalyptic number.

1642435040 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 1642435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962130716).

1642435040 is an abundant number, since it is smaller than the sum of its proper divisors (2281826392).

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

1642435040 is an equidigital number, since it uses as much as digits as its factorization.

1642435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1642435040 is about 40526.9668245725. The cubic root of 1642435040 is about 1179.8570735631.

The spelling of 1642435040 in words is "one billion, six hundred forty-two million, four hundred thirty-five thousand, forty".