1187353440 has 864 divisors, whose sum is σ = 5438736576. Its totient is φ = 230031360.

The previous prime is 1187353333. The next prime is 1187353483. The reversal of 1187353440 is 443537811.

It is a happy number.

1187353440 is a `hidden beast` number, since 1 + 1 + 87 + 3 + 534 + 40 = 666.

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 = 1187353395 and 1187353404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28959820 + ... + 28959860.

It is an arithmetic number, because the mean of its divisors is an integer number (6294834).

Almost surely, 2^1187353440 is an apocalyptic number.

1187353440 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 1187353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719368288).

1187353440 is an abundant number, since it is smaller than the sum of its proper divisors (4251383136).

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

1187353440 is a wasteful number, since it uses less digits than its factorization.

1187353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1187353440 is about 34457.9952986241. The cubic root of 1187353440 is about 1058.9123291973.

The spelling of 1187353440 in words is "one billion, one hundred eighty-seven million, three hundred fifty-three thousand, four hundred forty".