11397952440 has 384 divisors, whose sum is σ = 43815582720. Its totient is φ = 2515507200.

The previous prime is 11397952429. The next prime is 11397952451. The reversal of 11397952440 is 4425979311.

11397952440 is a `hidden beast` number, since 1 + 13 + 9 + 79 + 524 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11397952429) and next prime (11397952451).

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 95 ways as a sum of consecutive naturals, for example, 11054725 + ... + 11055755.

It is an arithmetic number, because the mean of its divisors is an integer number (114103080).

Almost surely, 2^11397952440 is an apocalyptic number.

11397952440 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 11397952440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907791360).

11397952440 is an abundant number, since it is smaller than the sum of its proper divisors (32417630280).

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

11397952440 is a wasteful number, since it uses less digits than its factorization.

11397952440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11397952440 in words is "eleven billion, three hundred ninety-seven million, nine hundred fifty-two thousand, four hundred forty".