34421537750040 has 256 divisors, whose sum is σ = 131359333248000. Its totient is φ = 7854000122880.

The previous prime is 34421537750027. The next prime is 34421537750167. The reversal of 34421537750040 is 4005773512443.

It is a happy number.

34421537750040 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 1 + 537 + 75 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×34421537750040² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329796 + ... + 8303724.

It is an arithmetic number, because the mean of its divisors is an integer number (513122395500).

Almost surely, 2^{34421537750040} is an apocalyptic number.

34421537750040 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 34421537750040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65679666624000).

34421537750040 is an abundant number, since it is smaller than the sum of its proper divisors (96937795497960).

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

34421537750040 is a wasteful number, since it uses less digits than its factorization.

34421537750040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974527 (or 7974517 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 34421537750040 in words is "thirty-four trillion, four hundred twenty-one billion, five hundred thirty-seven million, seven hundred fifty thousand, forty".