1042120396800 has 1404 divisors, whose sum is σ = 4443479366976. Its totient is φ = 232656076800.

The previous prime is 1042120396789. The next prime is 1042120396901. The reversal of 1042120396800 is 86930212401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2122444555 + ... + 2122445045.

It is an arithmetic number, because the mean of its divisors is an integer number (3164871344).

Almost surely, 2^{1042120396800} is an apocalyptic number.

1042120396800 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 1042120396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221739683488).

1042120396800 is an abundant number, since it is smaller than the sum of its proper divisors (3401358970176).

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

1042120396800 is a wasteful number, since it uses less digits than its factorization.

1042120396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1042120396800 in words is "one trillion, forty-two billion, one hundred twenty million, three hundred ninety-six thousand, eight hundred".