7401840096420 has 288 divisors, whose sum is σ = 28281000174336. Its totient is φ = 1522188288000.

The previous prime is 7401840096419. The next prime is 7401840096461. The reversal of 7401840096420 is 246900481047.

7401840096420 is a `hidden beast` number, since 7 + 40 + 184 + 0 + 0 + 9 + 6 + 420 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408381 + ... + 4097220.

It is an arithmetic number, because the mean of its divisors is an integer number (98197917272).

Almost surely, 2^{7401840096420} is an apocalyptic number.

7401840096420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7401840096420 is an abundant number, since it is smaller than the sum of its proper divisors (20879160077916).

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

7401840096420 is a wasteful number, since it uses less digits than its factorization.

7401840096420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505731 (or 5505726 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 7401840096420 in words is "seven trillion, four hundred one billion, eight hundred forty million, ninety-six thousand, four hundred twenty".