40503939840 has 1296 divisors, whose sum is σ = 182483316288. Its totient is φ = 8384643072.

The previous prime is 40503939829. The next prime is 40503939851. The reversal of 40503939840 is 4893930504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40503939829) and next prime (40503939851).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 764225254 + ... + 764225306.

It is an arithmetic number, because the mean of its divisors is an integer number (140805028).

Almost surely, 2^40503939840 is an apocalyptic number.

40503939840 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 40503939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91241658144).

40503939840 is an abundant number, since it is smaller than the sum of its proper divisors (141979376448).

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

40503939840 is an frugal number, since it uses more digits than its factorization.

40503939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 40503939840 in words is "forty billion, five hundred three million, nine hundred thirty-nine thousand, eight hundred forty".