23403378902400 has 2304 divisors, whose sum is σ = 109141780104000. Its totient is φ = 4860633415680.

The previous prime is 23403378902377. The next prime is 23403378902419. The reversal of 23403378902400 is 420987330432.

23403378902400 is a `hidden beast` number, since 2 + 34 + 0 + 3 + 378 + 9 + 0 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2087159194 + ... + 2087170406.

Almost surely, 2^{23403378902400} is an apocalyptic number.

23403378902400 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 23403378902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54570890052000).

23403378902400 is an abundant number, since it is smaller than the sum of its proper divisors (85738401201600).

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

23403378902400 is a wasteful number, since it uses less digits than its factorization.

23403378902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23403378902400 in words is "twenty-three trillion, four hundred three billion, three hundred seventy-eight million, nine hundred two thousand, four hundred".