434070041441400 has 576 divisors, whose sum is σ = 1816867063065600. Its totient is φ = 90424714798080.

The previous prime is 434070041441369. The next prime is 434070041441507. The reversal of 434070041441400 is 4144140070434.

434070041441400 is a `hidden beast` number, since 4 + 3 + 40 + 70 + 0 + 4 + 144 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3831954 + ... + 29712353.

It is an arithmetic number, because the mean of its divisors is an integer number (3154283095600).

Almost surely, 2^{434070041441400} is an apocalyptic number.

434070041441400 is a gapful number since it is divisible by the number (40) 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 434070041441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908433531532800).

434070041441400 is an abundant number, since it is smaller than the sum of its proper divisors (1382797021624200).

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

434070041441400 is a wasteful number, since it uses less digits than its factorization.

434070041441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33544428 (or 33544416 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 434070041441400 in words is "four hundred thirty-four trillion, seventy billion, forty-one million, four hundred forty-one thousand, four hundred".