1459740311640 has 192 divisors, whose sum is σ = 5132005482240. Its totient is φ = 357709132800.

The previous prime is 1459740311639. The next prime is 1459740311647. The reversal of 1459740311640 is 461130479541.

1459740311640 is a `hidden beast` number, since 1 + 4 + 5 + 97 + 403 + 116 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1459740311647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344290 + ... + 1742990.

It is an arithmetic number, because the mean of its divisors is an integer number (26729195220).

Almost surely, 2^{1459740311640} is an apocalyptic number.

1459740311640 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 1459740311640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566002741120).

1459740311640 is an abundant number, since it is smaller than the sum of its proper divisors (3672265170600).

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

1459740311640 is a wasteful number, since it uses less digits than its factorization.

1459740311640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398954 (or 1398947 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1459740311640 in words is "one trillion, four hundred fifty-nine billion, seven hundred forty million, three hundred eleven thousand, six hundred forty".