10145140740 has 144 divisors (see below), whose sum is σ = 35251856640. Its totient is φ = 2313480960.

The previous prime is 10145140739. The next prime is 10145140751. The reversal of 10145140740 is 4704154101.

10145140740 is a `hidden beast` number, since 101 + 4 + 514 + 0 + 7 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543970 + ... + 562310.

It is an arithmetic number, because the mean of its divisors is an integer number (244804560).

Almost surely, 2^10145140740 is an apocalyptic number.

10145140740 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 10145140740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625928320).

10145140740 is an abundant number, since it is smaller than the sum of its proper divisors (25106715900).

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

10145140740 is a wasteful number, since it uses less digits than its factorization.

10145140740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18802 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 10145140740 its reverse (4704154101), we get a palindrome (14849294841).

The spelling of 10145140740 in words is "ten billion, one hundred forty-five million, one hundred forty thousand, seven hundred forty".