35442458640 has 240 divisors, whose sum is σ = 127165521600. Its totient is φ = 8820016128.

The previous prime is 35442458609. The next prime is 35442458683. The reversal of 35442458640 is 4685424453.

35442458640 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 24 + 586 + 40 = 666.

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

It is a super-2 number, since 2×35442458640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897226 + ... + 935894.

It is an arithmetic number, because the mean of its divisors is an integer number (529856340).

Almost surely, 2^35442458640 is an apocalyptic number.

35442458640 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 35442458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63582760800).

35442458640 is an abundant number, since it is smaller than the sum of its proper divisors (91723062960).

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

35442458640 is a wasteful number, since it uses less digits than its factorization.

35442458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38774 (or 38765 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 35442458640 in words is "thirty-five billion, four hundred forty-two million, four hundred fifty-eight thousand, six hundred forty".