40347071400 has 192 divisors, whose sum is σ = 127368633600. Its totient is φ = 10562688000.

The previous prime is 40347071399. The next prime is 40347071419. The reversal of 40347071400 is 417074304.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38026870 + ... + 38027930.

It is an arithmetic number, because the mean of its divisors is an integer number (663378300).

Almost surely, 2^40347071400 is an apocalyptic number.

40347071400 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 40347071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63684316800).

40347071400 is an abundant number, since it is smaller than the sum of its proper divisors (87021562200).

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

40347071400 is a wasteful number, since it uses less digits than its factorization.

40347071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 40347071400 in words is "forty billion, three hundred forty-seven million, seventy-one thousand, four hundred".