11738456400 has 240 divisors, whose sum is σ = 41408921088. Its totient is φ = 2818752000.

The previous prime is 11738456393. The next prime is 11738456419. The reversal of 11738456400 is 465483711.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408245 + ... + 1416555.

Almost surely, 2^11738456400 is an apocalyptic number.

11738456400 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 11738456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704460544).

11738456400 is an abundant number, since it is smaller than the sum of its proper divisors (29670464688).

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

11738456400 is a wasteful number, since it uses less digits than its factorization.

11738456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8439 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 11738456400 in words is "eleven billion, seven hundred thirty-eight million, four hundred fifty-six thousand, four hundred".