35142372480 has 128 divisors (see below), whose sum is σ = 112091129280. Its totient is φ = 9365041152.

The previous prime is 35142372479. The next prime is 35142372527. The reversal of 35142372480 is 8427324153.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×35142372480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349002 + ... + 3359478.

Almost surely, 2^35142372480 is an apocalyptic number.

35142372480 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 35142372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56045564640).

35142372480 is an abundant number, since it is smaller than the sum of its proper divisors (76948756800).

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

35142372480 is a wasteful number, since it uses less digits than its factorization.

35142372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12234 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 35142372480 in words is "thirty-five billion, one hundred forty-two million, three hundred seventy-two thousand, four hundred eighty".