8135497440 has 720 divisors, whose sum is σ = 34913827872. Its totient is φ = 1775499264.

The previous prime is 8135497427. The next prime is 8135497451. The reversal of 8135497440 is 447945318.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14605642 + ... + 14606198.

Almost surely, 2^8135497440 is an apocalyptic number.

8135497440 is a gapful number since it is divisible by the number (80) 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 8135497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456913936).

8135497440 is an abundant number, since it is smaller than the sum of its proper divisors (26778330432).

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

8135497440 is a wasteful number, since it uses less digits than its factorization.

8135497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8135497440 is about 90196.9924110555. The cubic root of 8135497440 is about 2011.2282980280.

The spelling of 8135497440 in words is "eight billion, one hundred thirty-five million, four hundred ninety-seven thousand, four hundred forty".