140405461560 has 640 divisors, whose sum is σ = 600887548800. Its totient is φ = 28600750080.

The previous prime is 140405461541. The next prime is 140405461579. The reversal of 140405461560 is 65164504041.

140405461560 is a `hidden beast` number, since 1 + 4 + 0 + 40 + 54 + 6 + 1 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (140405461541) and next prime (140405461579).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8542150 + ... + 8558570.

It is an arithmetic number, because the mean of its divisors is an integer number (938886795).

Almost surely, 2^140405461560 is an apocalyptic number.

140405461560 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 140405461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300443774400).

140405461560 is an abundant number, since it is smaller than the sum of its proper divisors (460482087240).

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

140405461560 is a wasteful number, since it uses less digits than its factorization.

140405461560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16493 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 14040 and 5461560, that added together give a square (5475600 = 2340²).

The spelling of 140405461560 in words is "one hundred forty billion, four hundred five million, four hundred sixty-one thousand, five hundred sixty".