10421000400 has 240 divisors, whose sum is σ = 33904080000. Its totient is φ = 2735892480.

The previous prime is 10421000399. The next prime is 10421000407. The reversal of 10421000400 is 400012401.

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

It is a super-3 number, since 3×10421000400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421000407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29859426 + ... + 29859774.

It is an arithmetic number, because the mean of its divisors is an integer number (141267000).

Almost surely, 2^10421000400 is an apocalyptic number.

10421000400 is a gapful number since it is divisible by the number (10) 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 10421000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952040000).

10421000400 is an abundant number, since it is smaller than the sum of its proper divisors (23483079600).

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

10421000400 is a wasteful number, since it uses less digits than its factorization.

10421000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10421000400 its reverse (400012401), we get a palindrome (10821012801).

The spelling of 10421000400 in words is "ten billion, four hundred twenty-one million, four hundred", and thus it is an aban number.