141913774124640 has 3072 divisors, whose sum is σ = 636556935168000. Its totient is φ = 28798830305280.

The previous prime is 141913774124623. The next prime is 141913774124641. The reversal of 141913774124640 is 46421477319141.

141913774124640 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 137 + 7 + 41 + 2 + 464 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141913774124641) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 97267836231 + ... + 97267837689.

It is an arithmetic number, because the mean of its divisors is an integer number (207212544000).

Almost surely, 2^{141913774124640} is an apocalyptic number.

141913774124640 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 141913774124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318278467584000).

141913774124640 is an abundant number, since it is smaller than the sum of its proper divisors (494643161043360).

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

141913774124640 is a wasteful number, since it uses less digits than its factorization.

141913774124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 141913774124640 in words is "one hundred forty-one trillion, nine hundred thirteen billion, seven hundred seventy-four million, one hundred twenty-four thousand, six hundred forty".