4056998400000 has 3120 divisors, whose sum is σ = 19077665701248. Its totient is φ = 836075520000.

The previous prime is 4056998399947. The next prime is 4056998400139. The reversal of 4056998400000 is 48996504.

It is a happy number.

4056998400000 is a `hidden beast` number, since 4 + 0 + 569 + 9 + 84 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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 239 ways as a sum of consecutive naturals, for example, 94348799979 + ... + 94348800021.

Almost surely, 2^{4056998400000} is an apocalyptic number.

4056998400000 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 4056998400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538832850624).

4056998400000 is an abundant number, since it is smaller than the sum of its proper divisors (15020667301248).

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

4056998400000 is an frugal number, since it uses more digits than its factorization.

4056998400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4056998400000 in words is "four trillion, fifty-six billion, nine hundred ninety-eight million, four hundred thousand".