1216825040 has 40 divisors (see below), whose sum is σ = 2832571680. Its totient is φ = 486135936.

The previous prime is 1216825033. The next prime is 1216825061. The reversal of 1216825040 is 405286121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1216824994 and 1216825012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59867 + ... + 77573.

It is an arithmetic number, because the mean of its divisors is an integer number (70814292).

Almost surely, 2^1216825040 is an apocalyptic number.

1216825040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216825040 is an abundant number, since it is smaller than the sum of its proper divisors (1615746640).

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

1216825040 is a wasteful number, since it uses less digits than its factorization.

1216825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18579 (or 18573 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1216825040 is about 34883.0193647282. The cubic root of 1216825040 is about 1067.6020016356.

The spelling of 1216825040 in words is "one billion, two hundred sixteen million, eight hundred twenty-five thousand, forty".