4072074854400 has 1440 divisors, whose sum is σ = 17849070919680. Its totient is φ = 889902858240.

The previous prime is 4072074854333. The next prime is 4072074854413. The reversal of 4072074854400 is 44584702704.

4072074854400 is a `hidden beast` number, since 40 + 7 + 20 + 7 + 48 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 1780530057 + ... + 1780532343.

Almost surely, 2^{4072074854400} is an apocalyptic number.

4072074854400 is a gapful number since it is divisible by the number (40) 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 4072074854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924535459840).

4072074854400 is an abundant number, since it is smaller than the sum of its proper divisors (13776996065280).

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

4072074854400 is a wasteful number, since it uses less digits than its factorization.

4072074854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 4072074854400 in words is "four trillion, seventy-two billion, seventy-four million, eight hundred fifty-four thousand, four hundred".