35427040144020 has 288 divisors, whose sum is σ = 126383874559488. Its totient is φ = 7863086140416.

The previous prime is 35427040144019. The next prime is 35427040144063. The reversal of 35427040144020 is 2044104072453.

35427040144020 is a `hidden beast` number, since 3 + 542 + 7 + 0 + 40 + 14 + 40 + 20 = 666.

It is a super-3 number, since 3×35427040144020³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22694482 + ... + 24205238.

It is an arithmetic number, because the mean of its divisors is an integer number (438832897776).

Almost surely, 2^{35427040144020} is an apocalyptic number.

35427040144020 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 35427040144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63191937279744).

35427040144020 is an abundant number, since it is smaller than the sum of its proper divisors (90956834415468).

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

35427040144020 is a wasteful number, since it uses less digits than its factorization.

35427040144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511319 (or 1511314 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 35427040144020 in words is "thirty-five trillion, four hundred twenty-seven billion, forty million, one hundred forty-four thousand, twenty".