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40798052400 = 24352783163359
BaseRepresentation
bin100101111111110000…
…001110000000110000
310220022021201210120210
4211333300032000300
51132023300134100
630424203504120
72643004503120
oct457760160060
9126267653523
1040798052400
1116336489686
127aa7228040
133b02502b11
141d9058ac80
1510dbac6c50
hex97fc0e030

40798052400 has 480 divisors, whose sum is σ = 152510238720. Its totient is φ = 9130890240.

The previous prime is 40798052377. The next prime is 40798052401. The reversal of 40798052400 is 425089704.

It is not an unprimeable number, because it can be changed into a prime (40798052401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113643421 + ... + 113643779.

It is an arithmetic number, because the mean of its divisors is an integer number (317729664).

Almost surely, 240798052400 is an apocalyptic number.

40798052400 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 40798052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76255119360).

40798052400 is an abundant number, since it is smaller than the sum of its proper divisors (111712186320).

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

40798052400 is a wasteful number, since it uses less digits than its factorization.

40798052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 40798052400 in words is "forty billion, seven hundred ninety-eight million, fifty-two thousand, four hundred".