40414420320 has 96 divisors (see below), whose sum is σ = 130266081792. Its totient is φ = 10526541312.

The previous prime is 40414420309. The next prime is 40414420367. The reversal of 40414420320 is 2302441404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 958392 + ... + 999671.

It is an arithmetic number, because the mean of its divisors is an integer number (1356938352).

Almost surely, 2^40414420320 is an apocalyptic number.

40414420320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414420320 is an abundant number, since it is smaller than the sum of its proper divisors (89851661472).

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

40414420320 is a wasteful number, since it uses less digits than its factorization.

40414420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958124 (or 1958116 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40414420320 its reverse (2302441404), we get a palindrome (42716861724).

The spelling of 40414420320 in words is "forty billion, four hundred fourteen million, four hundred twenty thousand, three hundred twenty".