35442115104000 has 288 divisors, whose sum is σ = 128422896900480. Its totient is φ = 8592027648000.

The previous prime is 35442115103963. The next prime is 35442115104013. The reversal of 35442115104000 is 40151124453.

It is a super-2 number, since 2×35442115104000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15725305 + ... + 17837304.

It is an arithmetic number, because the mean of its divisors is an integer number (445912836460).

Almost surely, 2^{35442115104000} is an apocalyptic number.

35442115104000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35442115104000 is an abundant number, since it is smaller than the sum of its proper divisors (92980781796480).

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

35442115104000 is a wasteful number, since it uses less digits than its factorization.

35442115104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33562654 (or 33562630 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 35442115104000 its reverse (40151124453), we get a palindrome (35482266228453).

The spelling of 35442115104000 in words is "thirty-five trillion, four hundred forty-two billion, one hundred fifteen million, one hundred four thousand".