140516130414000 has 480 divisors, whose sum is σ = 503547202791360. Its totient is φ = 33681753600000.

The previous prime is 140516130413993. The next prime is 140516130414013. The reversal of 140516130414000 is 414031615041.

It is a super-2 number, since 2×140516130414000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 63526650 + ... + 65701350.

It is an arithmetic number, because the mean of its divisors is an integer number (1049056672482).

Almost surely, 2^{140516130414000} is an apocalyptic number.

140516130414000 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 140516130414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251773601395680).

140516130414000 is an abundant number, since it is smaller than the sum of its proper divisors (363031072377360).

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

140516130414000 is a wasteful number, since it uses less digits than its factorization.

140516130414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174838 (or 2174811 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 140516130414000 in words is "one hundred forty trillion, five hundred sixteen billion, one hundred thirty million, four hundred fourteen thousand".