7354406474400 has 72 divisors (see below), whose sum is σ = 23938593081984. Its totient is φ = 1961175059200.

The previous prime is 7354406474351. The next prime is 7354406474413. The reversal of 7354406474400 is 44746044537.

It is a super-3 number, since 3×7354406474400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7354406474400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1532165616 + ... + 1532170415.

It is an arithmetic number, because the mean of its divisors is an integer number (332480459472).

Almost surely, 2^{7354406474400} is an apocalyptic number.

It is an amenable number.

7354406474400 is an abundant number, since it is smaller than the sum of its proper divisors (16584186607584).

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

7354406474400 is a wasteful number, since it uses less digits than its factorization.

7354406474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064336054 (or 3064336041 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 48.

The spelling of 7354406474400 in words is "seven trillion, three hundred fifty-four billion, four hundred six million, four hundred seventy-four thousand, four hundred".