1214825040 has 960 divisors, whose sum is σ = 5459650560. Its totient is φ = 246343680.

The previous prime is 1214824999. The next prime is 1214825041. The reversal of 1214825040 is 405284121.

1214825040 is a `hidden beast` number, since 12 + 148 + 2 + 504 + 0 = 666.

It is a super-2 number, since 2×1214825040² = 2951599755622003200, which contains 22 as substring.

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 = 1214824995 and 1214825013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214825041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52818469 + ... + 52818491.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^1214825040 is an apocalyptic number.

1214825040 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 1214825040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

1214825040 is an abundant number, since it is smaller than the sum of its proper divisors (4244825520).

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

1214825040 is a wasteful number, since it uses less digits than its factorization.

1214825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1214825040 is about 34854.3403323029. The cubic root of 1214825040 is about 1067.0167696247.

The spelling of 1214825040 in words is "one billion, two hundred fourteen million, eight hundred twenty-five thousand, forty".