74406232454400 has 8640 divisors, whose sum is σ = 397459560960000. Its totient is φ = 13243436236800.

The previous prime is 74406232454357. The next prime is 74406232454413. The reversal of 74406232454400 is 445423260447.

74406232454400 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 6 + 232 + 4 + 5 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is a congruent number.

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 959 ways as a sum of consecutive naturals, for example, 373900665501 + ... + 373900665699.

It is an arithmetic number, because the mean of its divisors is an integer number (46002264000).

Almost surely, 2^{74406232454400} is an apocalyptic number.

74406232454400 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 74406232454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198729780480000).

74406232454400 is an abundant number, since it is smaller than the sum of its proper divisors (323053328505600).

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

74406232454400 is a wasteful number, since it uses less digits than its factorization.

74406232454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 45.

The spelling of 74406232454400 in words is "seventy-four trillion, four hundred six billion, two hundred thirty-two million, four hundred fifty-four thousand, four hundred".