1210964040 has 256 divisors, whose sum is σ = 4742841600. Its totient is φ = 270950400.

The previous prime is 1210964017. The next prime is 1210964057. The reversal of 1210964040 is 404690121.

1210964040 is a `hidden beast` number, since 1 + 2 + 10 + 9 + 640 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1210963995 and 1210964013.

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, 150520 + ... + 158360.

It is an arithmetic number, because the mean of its divisors is an integer number (18526725).

Almost surely, 2^1210964040 is an apocalyptic number.

1210964040 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 1210964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371420800).

1210964040 is an abundant number, since it is smaller than the sum of its proper divisors (3531877560).

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

1210964040 is a wasteful number, since it uses less digits than its factorization.

1210964040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1210964040 is about 34798.9086035755. The cubic root of 1210964040 is about 1065.8851597637.

The spelling of 1210964040 in words is "one billion, two hundred ten million, nine hundred sixty-four thousand, forty".