4082420819400 has 288 divisors, whose sum is σ = 16060047850080. Its totient is φ = 848295168000.

The previous prime is 4082420819359. The next prime is 4082420819471. The reversal of 4082420819400 is 49180242804.

4082420819400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5988321 + ... + 6635120.

It is an arithmetic number, because the mean of its divisors is an integer number (55764055035).

Almost surely, 2^{4082420819400} is an apocalyptic number.

4082420819400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082420819400 is an abundant number, since it is smaller than the sum of its proper divisors (11977627030680).

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

4082420819400 is a wasteful number, since it uses less digits than its factorization.

4082420819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623485 (or 12623469 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 4082420819400 in words is "four trillion, eighty-two billion, four hundred twenty million, eight hundred nineteen thousand, four hundred".