1042345920 has 448 divisors, whose sum is σ = 4213555200. Its totient is φ = 212029440.

The previous prime is 1042345919. The next prime is 1042345921. The reversal of 1042345920 is 295432401.

1042345920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042345919) and next prime (1042345921).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042345921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4361161 + ... + 4361399.

Almost surely, 2^1042345920 is an apocalyptic number.

1042345920 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 1042345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1042345920 is an abundant number, since it is smaller than the sum of its proper divisors (3171209280).

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

1042345920 is a wasteful number, since it uses less digits than its factorization.

1042345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1042345920 is about 32285.3824508863. The cubic root of 1042345920 is about 1013.9206237054.

The spelling of 1042345920 in words is "one billion, forty-two million, three hundred forty-five thousand, nine hundred twenty".