11619901440 has 896 divisors, whose sum is σ = 50328576000. Its totient is φ = 2484338688.

The previous prime is 11619901439. The next prime is 11619901451. The reversal of 11619901440 is 4410991611.

11619901440 is a `hidden beast` number, since 116 + 19 + 90 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11619901395 and 11619901404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147087321 + ... + 147087399.

Almost surely, 2^11619901440 is an apocalyptic number.

11619901440 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 11619901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25164288000).

11619901440 is an abundant number, since it is smaller than the sum of its proper divisors (38708674560).

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

11619901440 is an equidigital number, since it uses as much as digits as its factorization.

11619901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11619901440 in words is "eleven billion, six hundred nineteen million, nine hundred one thousand, four hundred forty".