1505245885440 has 792 divisors, whose sum is σ = 5535598996704. Its totient is φ = 348814540800.

The previous prime is 1505245885393. The next prime is 1505245885487. The reversal of 1505245885440 is 445885425051.

It is an interprime number because it is at equal distance from previous prime (1505245885393) and next prime (1505245885487).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 983177475 + ... + 983179005.

Almost surely, 2^{1505245885440} is an apocalyptic number.

1505245885440 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 1505245885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767799498352).

1505245885440 is an abundant number, since it is smaller than the sum of its proper divisors (4030353111264).

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

1505245885440 is a wasteful number, since it uses less digits than its factorization.

1505245885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 51.

The spelling of 1505245885440 in words is "one trillion, five hundred five billion, two hundred forty-five million, eight hundred eighty-five thousand, four hundred forty".