10145040155640 has 192 divisors, whose sum is σ = 35656212009600. Its totient is φ = 2486791673856.

The previous prime is 10145040155633. The next prime is 10145040155647. The reversal of 10145040155640 is 4655104054101.

10145040155640 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 0 + 4 + 0 + 1 + 5 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10145040155633) and next prime (10145040155647).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10145040155595 and 10145040155604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145040155647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3416509 + ... + 5653548.

It is an arithmetic number, because the mean of its divisors is an integer number (185709437550).

Almost surely, 2^{10145040155640} is an apocalyptic number.

10145040155640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145040155640 is an abundant number, since it is smaller than the sum of its proper divisors (25511171853960).

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

10145040155640 is a wasteful number, since it uses less digits than its factorization.

10145040155640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070326 (or 9070319 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10145040155640 in words is "ten trillion, one hundred forty-five billion, forty million, one hundred fifty-five thousand, six hundred forty".