1190957040 has 640 divisors, whose sum is σ = 5179668480. Its totient is φ = 244850688.

The previous prime is 1190957003. The next prime is 1190957057. The reversal of 1190957040 is 407590911.

It is a super-2 number, since 2×1190957040² = 2836757342251123200, which contains 22 as substring.

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 = 1190956986 and 1190957004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14348839 + ... + 14348921.

It is an arithmetic number, because the mean of its divisors is an integer number (8093232).

Almost surely, 2^1190957040 is an apocalyptic number.

1190957040 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 1190957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589834240).

1190957040 is an abundant number, since it is smaller than the sum of its proper divisors (3988711440).

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

1190957040 is a wasteful number, since it uses less digits than its factorization.

1190957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1190957040 is about 34510.2454352327. The cubic root of 1190957040 is about 1059.9825083147.

The spelling of 1190957040 in words is "one billion, one hundred ninety million, nine hundred fifty-seven thousand, forty".