11438150400 has 432 divisors, whose sum is σ = 43100192800. Its totient is φ = 2966077440.

The previous prime is 11438150393. The next prime is 11438150407. The reversal of 11438150400 is 405183411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11438150393) and next prime (11438150407).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11438150407) 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, 6392706 + ... + 6394494.

Almost surely, 2^11438150400 is an apocalyptic number.

11438150400 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 11438150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550096400).

11438150400 is an abundant number, since it is smaller than the sum of its proper divisors (31662042400).

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

11438150400 is a wasteful number, since it uses less digits than its factorization.

11438150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11438150400 in words is "eleven billion, four hundred thirty-eight million, one hundred fifty thousand, four hundred".