40030102200400 has 60 divisors (see below), whose sum is σ = 103570191360412. Its totient is φ = 14780345425920.

The previous prime is 40030102200317. The next prime is 40030102200409. The reversal of 40030102200400 is 400220103004.

It can be written as a sum of positive squares in 6 ways, for example, as 15975948816 + 40014126251584 = 126396^2 + 6325672^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40030102200409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3849043089 + ... + 3849053488.

Almost surely, 2^{40030102200400} is an apocalyptic number.

40030102200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40030102200400 is an abundant number, since it is smaller than the sum of its proper divisors (63540089160012).

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

40030102200400 is a wasteful number, since it uses less digits than its factorization.

40030102200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698096608 (or 7698096597 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40030102200400 its reverse (400220103004), we get a palindrome (40430322303404).

The spelling of 40030102200400 in words is "forty trillion, thirty billion, one hundred two million, two hundred thousand, four hundred".