21403112042400 has 1152 divisors, whose sum is σ = 80200742823936. Its totient is φ = 4907301273600.

The previous prime is 21403112042383. The next prime is 21403112042443. The reversal of 21403112042400 is 424021130412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38016184519 + ... + 38016185081.

It is an arithmetic number, because the mean of its divisors is an integer number (69618700368).

Almost surely, 2^{21403112042400} is an apocalyptic number.

21403112042400 is a gapful number since it is divisible by the number (20) 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 21403112042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100371411968).

21403112042400 is an abundant number, since it is smaller than the sum of its proper divisors (58797630781536).

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

21403112042400 is a wasteful number, since it uses less digits than its factorization.

21403112042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21403112042400 its reverse (424021130412), we get a palindrome (21827133172812).

The spelling of 21403112042400 in words is "twenty-one trillion, four hundred three billion, one hundred twelve million, forty-two thousand, four hundred".