11897941440 has 448 divisors, whose sum is σ = 47781715968. Its totient is φ = 2436403200.

The previous prime is 11897941409. The next prime is 11897941463. The reversal of 11897941440 is 4414979811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11897941440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11897941440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5247187 + ... + 5249453.

It is an arithmetic number, because the mean of its divisors is an integer number (106655616).

Almost surely, 2^11897941440 is an apocalyptic number.

11897941440 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 11897941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23890857984).

11897941440 is an abundant number, since it is smaller than the sum of its proper divisors (35883774528).

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

11897941440 is a wasteful number, since it uses less digits than its factorization.

11897941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 11897941440 in words is "eleven billion, eight hundred ninety-seven million, nine hundred forty-one thousand, four hundred forty".