140517252734040 has 384 divisors, whose sum is σ = 562470959232000. Its totient is φ = 29626394526720.

The previous prime is 140517252734029. The next prime is 140517252734057. The reversal of 140517252734040 is 40437252715041.

140517252734040 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 17 + 252 + 7 + 340 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44298255 + ... + 47364225.

It is an arithmetic number, because the mean of its divisors is an integer number (1464768123000).

Almost surely, 2^{140517252734040} is an apocalyptic number.

140517252734040 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 140517252734040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281235479616000).

140517252734040 is an abundant number, since it is smaller than the sum of its proper divisors (421953706497960).

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

140517252734040 is a wasteful number, since it uses less digits than its factorization.

140517252734040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067407 (or 3067400 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 140517252734040 in words is "one hundred forty trillion, five hundred seventeen billion, two hundred fifty-two million, seven hundred thirty-four thousand, forty".