11415969400 has 192 divisors, whose sum is σ = 29641852800. Its totient is φ = 4054080000.

The previous prime is 11415969361. The next prime is 11415969403. The reversal of 11415969400 is 496951411.

It is a super-3 number, since 3×11415969400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415969403) 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, 18442291 + ... + 18442909.

It is an arithmetic number, because the mean of its divisors is an integer number (154384650).

Almost surely, 2^11415969400 is an apocalyptic number.

11415969400 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 11415969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820926400).

11415969400 is an abundant number, since it is smaller than the sum of its proper divisors (18225883400).

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

11415969400 is a wasteful number, since it uses less digits than its factorization.

11415969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 11415969400 in words is "eleven billion, four hundred fifteen million, nine hundred sixty-nine thousand, four hundred".