40434514000 has 80 divisors (see below), whose sum is σ = 98541121536. Its totient is φ = 16046352000.

The previous prime is 40434513983. The next prime is 40434514033. The reversal of 40434514000 is 41543404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174405 + ... + 333595.

Almost surely, 2^40434514000 is an apocalyptic number.

40434514000 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 40434514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49270560768).

40434514000 is an abundant number, since it is smaller than the sum of its proper divisors (58106607536).

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

40434514000 is a wasteful number, since it uses less digits than its factorization.

40434514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159341 (or 159325 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 40434514000 in words is "forty billion, four hundred thirty-four million, five hundred fourteen thousand".