408021050880 has 240 divisors, whose sum is σ = 1425605987520. Its totient is φ = 107842043904.

The previous prime is 408021050851. The next prime is 408021050881. The reversal of 408021050880 is 88050120804.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×408021050880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408021050881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2525161 + ... + 2681879.

It is an arithmetic number, because the mean of its divisors is an integer number (5940024948).

Almost surely, 2^408021050880 is an apocalyptic number.

408021050880 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 408021050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712802993760).

408021050880 is an abundant number, since it is smaller than the sum of its proper divisors (1017584936640).

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

408021050880 is a wasteful number, since it uses less digits than its factorization.

408021050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156861 (or 156842 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 408021050880 in words is "four hundred eight billion, twenty-one million, fifty thousand, eight hundred eighty".