1249652040 has 384 divisors, whose sum is σ = 4885090560. Its totient is φ = 248997888.

The previous prime is 1249652029. The next prime is 1249652057. The reversal of 1249652040 is 402569421.

It is a junction number, because it is equal to n+sod(n) for n = 1249651992 and 1249652010.

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, 3941962 + ... + 3942278.

It is an arithmetic number, because the mean of its divisors is an integer number (12721590).

Almost surely, 2^1249652040 is an apocalyptic number.

1249652040 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 1249652040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442545280).

1249652040 is an abundant number, since it is smaller than the sum of its proper divisors (3635438520).

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

1249652040 is a wasteful number, since it uses less digits than its factorization.

1249652040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1249652040 is about 35350.4178193130. The cubic root of 1249652040 is about 1077.1173814605.

The spelling of 1249652040 in words is "one billion, two hundred forty-nine million, six hundred fifty-two thousand, forty".