4053790540800 has 5544 divisors, whose sum is σ = 21253664178432. Its totient is φ = 752467968000.

The previous prime is 4053790540771. The next prime is 4053790540801. The reversal of 4053790540800 is 80450973504.

4053790540800 is a `hidden beast` number, since 405 + 37 + 90 + 54 + 0 + 80 + 0 = 666.

4053790540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5544).

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

It is not an unprimeable number, because it can be changed into a prime (4053790540801) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 130767436785 + ... + 130767436815.

Almost surely, 2^{4053790540800} is an apocalyptic number.

4053790540800 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 4053790540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626832089216).

4053790540800 is an abundant number, since it is smaller than the sum of its proper divisors (17199873637632).

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

4053790540800 is a wasteful number, since it uses less digits than its factorization.

4053790540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 4053790540800 in words is "four trillion, fifty-three billion, seven hundred ninety million, five hundred forty thousand, eight hundred".