40214487040 has 224 divisors, whose sum is σ = 118791167040. Its totient is φ = 12726042624.

The previous prime is 40214487029. The next prime is 40214487067. The reversal of 40214487040 is 4078441204.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 40214486987 and 40214487005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3721966 + ... + 3732754.

It is an arithmetic number, because the mean of its divisors is an integer number (530317710).

Almost surely, 2^40214487040 is an apocalyptic number.

40214487040 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 40214487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59395583520).

40214487040 is an abundant number, since it is smaller than the sum of its proper divisors (78576680000).

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

40214487040 is a wasteful number, since it uses less digits than its factorization.

40214487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The spelling of 40214487040 in words is "forty billion, two hundred fourteen million, four hundred eighty-seven thousand, forty".