34157270240400 has 120 divisors (see below), whose sum is σ = 109439170248384. Its totient is φ = 9106769984000.

The previous prime is 34157270240393. The next prime is 34157270240411. The reversal of 34157270240400 is 404207275143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34157270240400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095050 + ... + 8825750.

Almost surely, 2^{34157270240400} is an apocalyptic number.

34157270240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34157270240400 is an abundant number, since it is smaller than the sum of its proper divisors (75281900007984).

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

34157270240400 is a wasteful number, since it uses less digits than its factorization.

34157270240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735689 (or 5735678 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 34157270240400 in words is "thirty-four trillion, one hundred fifty-seven billion, two hundred seventy million, two hundred forty thousand, four hundred".