1213914240 has 1152 divisors, whose sum is σ = 5877256320. Its totient is φ = 227082240.

The previous prime is 1213914211. The next prime is 1213914281. The reversal of 1213914240 is 424193121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52778869 + ... + 52778891.

It is an arithmetic number, because the mean of its divisors is an integer number (5101785).

Almost surely, 2^1213914240 is an apocalyptic number.

1213914240 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 1213914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938628160).

1213914240 is an abundant number, since it is smaller than the sum of its proper divisors (4663342080).

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

1213914240 is a wasteful number, since it uses less digits than its factorization.

1213914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

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

The square root of 1213914240 is about 34841.2720778102. The cubic root of 1213914240 is about 1066.7500420939.

The spelling of 1213914240 in words is "one billion, two hundred thirteen million, nine hundred fourteen thousand, two hundred forty".