74345405261400 has 5184 divisors, whose sum is σ = 345765519590400. Its totient is φ = 14775022080000.

The previous prime is 74345405261377. The next prime is 74345405261441. The reversal of 74345405261400 is 416250454347.

74345405261400 is a `hidden beast` number, since 7 + 4 + 3 + 4 + 540 + 5 + 2 + 61 + 40 + 0 = 666.

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 polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 736093121350 + ... + 736093121450.

It is an arithmetic number, because the mean of its divisors is an integer number (66698595600).

Almost surely, 2^{74345405261400} is an apocalyptic number.

74345405261400 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 74345405261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172882759795200).

74345405261400 is an abundant number, since it is smaller than the sum of its proper divisors (271420114329000).

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

74345405261400 is a wasteful number, since it uses less digits than its factorization.

74345405261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 74345405261400 in words is "seventy-four trillion, three hundred forty-five billion, four hundred five million, two hundred sixty-one thousand, four hundred".