7942024490400 has 6912 divisors, whose sum is σ = 43321067274240. Its totient is φ = 1353646080000.

The previous prime is 7942024490377. The next prime is 7942024490447. The reversal of 7942024490400 is 40944202497.

It is a super-2 number, since 2×7942024490400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 193707914380 + ... + 193707914420.

It is an arithmetic number, because the mean of its divisors is an integer number (6267515520).

Almost surely, 2^{7942024490400} is an apocalyptic number.

7942024490400 is a gapful number since it is divisible by the number (70) 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 7942024490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660533637120).

7942024490400 is an abundant number, since it is smaller than the sum of its proper divisors (35379042783840).

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

7942024490400 is a wasteful number, since it uses less digits than its factorization.

7942024490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 7942024490400 its reverse (40944202497), we get a palindrome (7982968692897).

The spelling of 7942024490400 in words is "seven trillion, nine hundred forty-two billion, twenty-four million, four hundred ninety thousand, four hundred".