140187732541440 has 320 divisors, whose sum is σ = 474989023198800. Its totient is φ = 35184372088832.

The previous prime is 140187732541429. The next prime is 140187732541487. The reversal of 140187732541440 is 44145237781041.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×140187732541440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 69632 × 61440 × 32768.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 140187732541440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8246337208312 + ... + 8246337208328.

Almost surely, 2^{140187732541440} is an apocalyptic number.

140187732541440 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 140187732541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237494511599400).

140187732541440 is an abundant number, since it is smaller than the sum of its proper divisors (334801290657360).

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

140187732541440 is an frugal number, since it uses more digits than its factorization.

140187732541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 140187732541440 in words is "one hundred forty trillion, one hundred eighty-seven billion, seven hundred thirty-two million, five hundred forty-one thousand, four hundred forty".