40421990400 has 336 divisors, whose sum is σ = 145828621728. Its totient is φ = 9797632000.

The previous prime is 40421990393. The next prime is 40421990417. The reversal of 40421990400 is 409912404.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6755410 + ... + 6761390.

Almost surely, 2^40421990400 is an apocalyptic number.

40421990400 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 40421990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72914310864).

40421990400 is an abundant number, since it is smaller than the sum of its proper divisors (105406631328).

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

40421990400 is a wasteful number, since it uses less digits than its factorization.

40421990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 40421990400 in words is "forty billion, four hundred twenty-one million, nine hundred ninety thousand, four hundred".