1042129920 has 352 divisors, whose sum is σ = 3813118848. Its totient is φ = 240648192.

The previous prime is 1042129889. The next prime is 1042129927. The reversal of 1042129920 is 299212401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1042129927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394407 + ... + 3394713.

It is an arithmetic number, because the mean of its divisors is an integer number (10832724).

Almost surely, 2^1042129920 is an apocalyptic number.

1042129920 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 1042129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906559424).

1042129920 is an abundant number, since it is smaller than the sum of its proper divisors (2770988928).

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

1042129920 is a wasteful number, since it uses less digits than its factorization.

1042129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1042129920 is about 32282.0371104427. The cubic root of 1042129920 is about 1013.8505823432.

The spelling of 1042129920 in words is "one billion, forty-two million, one hundred twenty-nine thousand, nine hundred twenty".