11490877440 has 672 divisors, whose sum is σ = 46903087296. Its totient is φ = 2548039680.

The previous prime is 11490877429. The next prime is 11490877457. The reversal of 11490877440 is 4477809411.

It is a happy number.

11490877440 is a `hidden beast` number, since 11 + 490 + 87 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11490877440² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 157409244 + ... + 157409316.

Almost surely, 2^11490877440 is an apocalyptic number.

11490877440 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 11490877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451543648).

11490877440 is an abundant number, since it is smaller than the sum of its proper divisors (35412209856).

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

11490877440 is an equidigital number, since it uses as much as digits as its factorization.

11490877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11490877440 in words is "eleven billion, four hundred ninety million, eight hundred seventy-seven thousand, four hundred forty".