40628966400 has 1584 divisors, whose sum is σ = 179612754048. Its totient is φ = 8650752000.

The previous prime is 40628966387. The next prime is 40628966419. The reversal of 40628966400 is 466982604.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

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, 990950380 + ... + 990950420.

Almost surely, 2^40628966400 is an apocalyptic number.

40628966400 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 40628966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89806377024).

40628966400 is an abundant number, since it is smaller than the sum of its proper divisors (138983787648).

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

40628966400 is a wasteful number, since it uses less digits than its factorization.

40628966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40628966400 in words is "forty billion, six hundred twenty-eight million, nine hundred sixty-six thousand, four hundred".