4054761446400 has 2376 divisors, whose sum is σ = 18397121432976. Its totient is φ = 847223193600.

The previous prime is 4054761446399. The next prime is 4054761446441. The reversal of 4054761446400 is 46441674504.

4054761446400 is a `hidden beast` number, since 4 + 0 + 547 + 6 + 1 + 44 + 64 + 0 + 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 215 ways as a sum of consecutive naturals, for example, 7101158115 + ... + 7101158685.

It is an arithmetic number, because the mean of its divisors is an integer number (7742896226).

Almost surely, 2^{4054761446400} is an apocalyptic number.

4054761446400 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 4054761446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198560716488).

4054761446400 is an abundant number, since it is smaller than the sum of its proper divisors (14342359986576).

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

4054761446400 is a wasteful number, since it uses less digits than its factorization.

4054761446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4054761446400 in words is "four trillion, fifty-four billion, seven hundred sixty-one million, four hundred forty-six thousand, four hundred".