7399420438410 has 1152 divisors, whose sum is σ = 27086634731520. Its totient is φ = 1411269350400.

The previous prime is 7399420438409. The next prime is 7399420438429. The reversal of 7399420438410 is 148340249937.

7399420438410 is a `hidden beast` number, since 7 + 3 + 99 + 420 + 43 + 84 + 10 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6672154936 + ... + 6672156044.

It is an arithmetic number, because the mean of its divisors is an integer number (23512703760).

Almost surely, 2^{7399420438410} is an apocalyptic number.

7399420438410 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7399420438410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543317365760).

7399420438410 is an abundant number, since it is smaller than the sum of its proper divisors (19687214293110).

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

7399420438410 is a wasteful number, since it uses less digits than its factorization.

7399420438410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7399420438410 in words is "seven trillion, three hundred ninety-nine billion, four hundred twenty million, four hundred thirty-eight thousand, four hundred ten".