1505470295040 has 352 divisors, whose sum is σ = 4895428339200. Its totient is φ = 394818748416.

The previous prime is 1505470295023. The next prime is 1505470295051. The reversal of 1505470295040 is 405920745051.

It is a junction number, because it is equal to n+sod(n) for n = 1505470294983 and 1505470295001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242853861 + ... + 242860059.

Almost surely, 2^{1505470295040} is an apocalyptic number.

1505470295040 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 1505470295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447714169600).

1505470295040 is an abundant number, since it is smaller than the sum of its proper divisors (3389958044160).

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

1505470295040 is a wasteful number, since it uses less digits than its factorization.

1505470295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 1505470295040 in words is "one trillion, five hundred five billion, four hundred seventy million, two hundred ninety-five thousand, forty".