240402040420080 has 1920 divisors, whose sum is σ = 1012936127938560. Its totient is φ = 46032144998400.

The previous prime is 240402040420079. The next prime is 240402040420097. The reversal of 240402040420080 is 80024040204042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33190944939 + ... + 33190952181.

It is an arithmetic number, because the mean of its divisors is an integer number (527570899968).

Almost surely, 2^{240402040420080} is an apocalyptic number.

240402040420080 is a gapful number since it is divisible by the number (20) 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 240402040420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506468063969280).

240402040420080 is an abundant number, since it is smaller than the sum of its proper divisors (772534087518480).

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

240402040420080 is a wasteful number, since it uses less digits than its factorization.

240402040420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7571 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 240402040420080 in words is "two hundred forty trillion, four hundred two billion, forty million, four hundred twenty thousand, eighty".