1225409640 has 768 divisors, whose sum is σ = 5212408320. Its totient is φ = 227082240.

The previous prime is 1225409621. The next prime is 1225409671. The reversal of 1225409640 is 469045221.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29888020 + ... + 29888060.

It is an arithmetic number, because the mean of its divisors is an integer number (6786990).

Almost surely, 2^1225409640 is an apocalyptic number.

1225409640 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 1225409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

1225409640 is an abundant number, since it is smaller than the sum of its proper divisors (3986998680).

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

1225409640 is a wasteful number, since it uses less digits than its factorization.

1225409640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

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

The square root of 1225409640 is about 35005.8515108546. The cubic root of 1225409640 is about 1070.1067352110.

The spelling of 1225409640 in words is "one billion, two hundred twenty-five million, four hundred nine thousand, six hundred forty".