40071040400 has 60 divisors (see below), whose sum is σ = 96293064900. Its totient is φ = 16024688640.

The previous prime is 40071040397. The next prime is 40071040411. The reversal of 40071040400 is 404017004.

It can be written as a sum of positive squares in 6 ways, for example, as 2857543936 + 37213496464 = 53456^2 + 192908^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2266796 + ... + 2284404.

It is an arithmetic number, because the mean of its divisors is an integer number (1604884415).

Almost surely, 2^40071040400 is an apocalyptic number.

40071040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40071040400 is an abundant number, since it is smaller than the sum of its proper divisors (56222024500).

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

40071040400 is a wasteful number, since it uses less digits than its factorization.

40071040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23316 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

Adding to 40071040400 its reverse (404017004), we get a palindrome (40475057404).

The spelling of 40071040400 in words is "forty billion, seventy-one million, forty thousand, four hundred".