35142540000 has 240 divisors, whose sum is σ = 116587492560. Its totient is φ = 9264640000.

The previous prime is 35142539987. The next prime is 35142540001. The reversal of 35142540000 is 4524153.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142540001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5336710 + ... + 5343290.

It is an arithmetic number, because the mean of its divisors is an integer number (485781219).

Almost surely, 2^35142540000 is an apocalyptic number.

35142540000 is a gapful number since it is divisible by the number (30) 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 35142540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58293746280).

35142540000 is an abundant number, since it is smaller than the sum of its proper divisors (81444952560).

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

35142540000 is an equidigital number, since it uses as much as digits as its factorization.

35142540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6680 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 35142540000 in words is "thirty-five billion, one hundred forty-two million, five hundred forty thousand".