4075854078400 has 336 divisors, whose sum is σ = 11024023306240. Its totient is φ = 1474105651200.

The previous prime is 4075854078397. The next prime is 4075854078409. The reversal of 4075854078400 is 48704585704.

It is a super-2 number, since 2×4075854078400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075854078409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208676635 + ... + 208696165.

Almost surely, 2^{4075854078400} is an apocalyptic number.

4075854078400 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 4075854078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512011653120).

4075854078400 is an abundant number, since it is smaller than the sum of its proper divisors (6948169227840).

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

4075854078400 is a wasteful number, since it uses less digits than its factorization.

4075854078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19772 (or 19757 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 52.

The spelling of 4075854078400 in words is "four trillion, seventy-five billion, eight hundred fifty-four million, seventy-eight thousand, four hundred".