2134018157040 has 1280 divisors, whose sum is σ = 9388970496000. Its totient is φ = 441649152000.

The previous prime is 2134018157017. The next prime is 2134018157057. The reversal of 2134018157040 is 407518104312.

2134018157040 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 1 + 81 + 570 + 4 + 0 = 666.

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 = 2134018156986 and 2134018157004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3268021354 + ... + 3268022006.

It is an arithmetic number, because the mean of its divisors is an integer number (7335133200).

Almost surely, 2^{2134018157040} is an apocalyptic number.

2134018157040 is a gapful number since it is divisible by the number (20) 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 2134018157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694485248000).

2134018157040 is an abundant number, since it is smaller than the sum of its proper divisors (7254952338960).

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

2134018157040 is a wasteful number, since it uses less digits than its factorization.

2134018157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2134018157040 in words is "two trillion, one hundred thirty-four billion, eighteen million, one hundred fifty-seven thousand, forty".