434120401863732 has 24 divisors (see below), whose sum is σ = 1013726195933472. Its totient is φ = 144595573252000.

The previous prime is 434120401863727. The next prime is 434120401863739. The reversal of 434120401863732 is 237368104021434.

It is a super-2 number, since 2×434120401863732² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434120401863739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13903404894 + ... + 13903436117.

It is an arithmetic number, because the mean of its divisors is an integer number (42238591497228).

Almost surely, 2^{434120401863732} is an apocalyptic number.

It is an amenable number.

434120401863732 is an abundant number, since it is smaller than the sum of its proper divisors (579605794069740).

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

434120401863732 is a wasteful number, since it uses less digits than its factorization.

434120401863732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27806842319 (or 27806842317 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 434120401863732 in words is "four hundred thirty-four trillion, one hundred twenty billion, four hundred one million, eight hundred sixty-three thousand, seven hundred thirty-two".