1225559040 has 176 divisors, whose sum is σ = 3977206368. Its totient is φ = 322043904.

The previous prime is 1225559011. The next prime is 1225559047. The reversal of 1225559040 is 409555221.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1225558992 and 1225559010.

It is not an unprimeable number, because it can be changed into a prime (1225559047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120734 + ... + 1121826.

Almost surely, 2^1225559040 is an apocalyptic number.

1225559040 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 1225559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988603184).

1225559040 is an abundant number, since it is smaller than the sum of its proper divisors (2751647328).

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

1225559040 is a wasteful number, since it uses less digits than its factorization.

1225559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1225559040 is about 35007.9853747684. The cubic root of 1225559040 is about 1070.1502220158.

The spelling of 1225559040 in words is "one billion, two hundred twenty-five million, five hundred fifty-nine thousand, forty".