1225005311640 has 192 divisors, whose sum is σ = 4094819215200. Its totient is φ = 292902635520.

The previous prime is 1225005311587. The next prime is 1225005311737. The reversal of 1225005311640 is 461135005221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1225005311598 and 1225005311607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482106 + ... + 1637814.

Almost surely, 2^{1225005311640} is an apocalyptic number.

1225005311640 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 1225005311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047409607600).

1225005311640 is an abundant number, since it is smaller than the sum of its proper divisors (2869813903560).

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

1225005311640 is a wasteful number, since it uses less digits than its factorization.

1225005311640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155818 (or 1155803 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1225005311640 in words is "one trillion, two hundred twenty-five billion, five million, three hundred eleven thousand, six hundred forty".