4030890998400 has 2880 divisors, whose sum is σ = 18569441479680. Its totient is φ = 860321710080.

The previous prime is 4030890998377. The next prime is 4030890998401. The reversal of 4030890998400 is 48990980304.

4030890998400 is a `hidden beast` number, since 40 + 30 + 89 + 0 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4030890998401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 31739299137 + ... + 31739299263.

It is an arithmetic number, because the mean of its divisors is an integer number (6447722736).

Almost surely, 2^{4030890998400} is an apocalyptic number.

4030890998400 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 4030890998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9284720739840).

4030890998400 is an abundant number, since it is smaller than the sum of its proper divisors (14538550481280).

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

4030890998400 is an equidigital number, since it uses as much as digits as its factorization.

4030890998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4030890998400 in words is "four trillion, thirty billion, eight hundred ninety million, nine hundred ninety-eight thousand, four hundred".