1506826938240 has 1536 divisors, whose sum is σ = 6428272233600. Its totient is φ = 330417045504.

The previous prime is 1506826938217. The next prime is 1506826938251. The reversal of 1506826938240 is 428396286051.

1506826938240 is a `hidden beast` number, since 1 + 50 + 68 + 269 + 38 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1378615134 + ... + 1378616226.

Almost surely, 2^{1506826938240} is an apocalyptic number.

1506826938240 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 1506826938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214136116800).

1506826938240 is an abundant number, since it is smaller than the sum of its proper divisors (4921445295360).

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

1506826938240 is a wasteful number, since it uses less digits than its factorization.

1506826938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1506826938240 in words is "one trillion, five hundred six billion, eight hundred twenty-six million, nine hundred thirty-eight thousand, two hundred forty".