342457356003840 has 4480 divisors, whose sum is σ = 1631425269957120. Its totient is φ = 66819155558400.

The previous prime is 342457356003793. The next prime is 342457356003857. The reversal of 342457356003840 is 48300653754243.

342457356003840 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 5 + 7 + 3 + 560 + 0 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×342457356003840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 154190613930 + ... + 154190616150.

Almost surely, 2^{342457356003840} is an apocalyptic number.

342457356003840 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 342457356003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815712634978560).

342457356003840 is an abundant number, since it is smaller than the sum of its proper divisors (1288967913953280).

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

342457356003840 is a wasteful number, since it uses less digits than its factorization.

342457356003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 342457356003840 in words is "three hundred forty-two trillion, four hundred fifty-seven billion, three hundred fifty-six million, three thousand, eight hundred forty".