140427428492736 has 1008 divisors, whose sum is σ = 513397676832768. Its totient is φ = 35649289728000.

The previous prime is 140427428492723. The next prime is 140427428492779. The reversal of 140427428492736 is 637294824724041.

It is a happy number.

140427428492736 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 74 + 2 + 8 + 492 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27956881521 + ... + 27956886543.

It is an arithmetic number, because the mean of its divisors is an integer number (509323092096).

Almost surely, 2^{140427428492736} is an apocalyptic number.

140427428492736 is a gapful number since it is divisible by the number (16) 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 140427428492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256698838416384).

140427428492736 is an abundant number, since it is smaller than the sum of its proper divisors (372970248340032).

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

140427428492736 is a wasteful number, since it uses less digits than its factorization.

140427428492736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 140427428492736 in words is "one hundred forty trillion, four hundred twenty-seven billion, four hundred twenty-eight million, four hundred ninety-two thousand, seven hundred thirty-six".